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This work examines the inertial Kuramoto model as an extension of the classical Kuramoto model, focusing on synchronization dynamics and phase velocity determinability.

July 26, 2026SIAM Journal on Mathematical Analysis

Inertia Perturbation Theory for the Inertial Kuramoto Model

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Authors

HCHangjun ChoUniversity of Washington JDJiu‐Gang DongDalian University of Technology SHSeung-Yeal HaSeoul National University

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Randomized trial explores synchronization in inertial Kuramoto model, suggesting new limitations on phase velocity analysis.

Key Points

This work examines the inertial Kuramoto model as an extension of the classical Kuramoto model, focusing on synchronization dynamics and phase velocity determinability.
Developed a quantitative Tikhonov theorem to analyze synchronization in the small inertia regime.
Examined phase velocities in relation to phase positions to identify limits of perturbation theory.
Derived a new synchronization statement with strong bounds on the limiting order parameter in the small inertia regime.
Showed that phase velocities can be determined from phase positions under specific conditions, emphasizing the limitations of the perturbation viewpoint.

Cite This Study

Cho et al. (2026) studied this question.

synapsesocial.com/papers/6a65a501d3aea3239cd77384 https://doi.org/10.1137/25m1788567

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Inertia Perturbation Theory for the Inertial Kuramoto Model

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Cite This Study

Inertia Perturbation Theory for the Inertial Kuramoto Model

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Member takes

Implication

Key Points

Cite This Study

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